Answer:
All are 63
Step-by-step explanation:
m∠1 = 180 - 117 = 63 (linear pair)
m∠2 = 63 (alternate interior angle with ∠1)
m∠3 = m∠1 = 63 (isosceles triangle property)
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9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
Answer:
When t=10, the town is predicted to have around 443 acres of wetlands.
At one time, the town had 740 acres of wetlands.
The wetland area in the town decreases by 5% per year.
Step-by-step explanation:
Given

Required
The true statements

We have:

Substitute 10 for t


<em>Hence, (a) is true</em>

We have:

Substitute 740 for f(t)

Divide through by 740

Express 1 as 0.95^0

Cancel out the bases


Hence, the area had 740 acres initially;
(b) is true

We have:

Using the general formula

By comparison:

0.95 < 1 means that:
--- where r = rates

Collect like terms


Express as percentage

Hence, (c) is true

In (a)

Hence, (d) is false

In (c)
---- decrement
Hence, (e) is incorrect
(4/5) / 8 =
4/5 * 1/8 =
4/40 reduces to 1/10 ft